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Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field

Alex G. Dias·M. Gomes·A. J. da Silva
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Abstract

We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional analog of the Coleman-Weinberg model. By calculating the effective potential, we show that dynamical symmetry breakdown occurs in the two-loop approximation. The vacuum becomes asymmetric and mass generation, for the boson and fermion fields takes place. Renormalization group arguments are used to clarify some aspects of the solution.

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Alex G. Dias, M. Gomes, A. J. da Silva. 2003-12-16. Dynamical Breakdown of Symmetry in a (2+1) Dimensional Model Containing the Chern-Simons Field. https://doi.org/10.1103/physrevd.69.065011

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